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TS EAMCET · Maths · Permutation Combination

A student is asked to answer 10 out of 13 questions is an examination such that he must answer atleast four questions from the first five questions. The number of choices available to him is

  1. A 140
  2. B 176
  3. C 196
  4. D 280
Verified Solution

Answer & Solution

Correct Answer

(C) 196

Step-by-step Solution

Detailed explanation

Case I 4 questions from first 5 questions and 6 questions from remaining 8 questions \[ \therefore \quad{ }^5 C_4 \times{ }^8 C_6=5 \times 28=140 \] Case II Choose 5 questions from first 5 questions and next 5 questions from remaining 8 questions…